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On some inequalities with matrix means

Authors: 

Xiaohui Fua & Dinh Trung Hoa*

Source title: 
Linear and Multilinear Algebra, 63(12): 2373-2378, 2015 (ISI)
Academic year of acceptance: 
2014-2015
Abstract: 

In this note, we generalize some inequalities with matrix means due to Hoa et al. [RIMS Kokyuroku. 1893;2013:67–71]. Let  and  two arbitrary means between harmonic and arithmetic means. Then for every unital positive linear map  and ,

and